Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅×SD₁₆

Direct product G=N×Q with N=C₂² and Q=C₅×SD₁₆

		d	ρ	Label	ID
SD₁₆×C₂×C₁₀		160		SD16xC2xC10	320,1572

Semidirect products G=N:Q with N=C₂² and Q=C₅×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₅×SD₁₆) = C₅×C₈⋊₈D₄	φ: C₅×SD₁₆/C₄₀ → C₂ ⊆ Aut C₂²	160		C2^2:1(C5xSD16)	320,966
C₂²⋊₂(C₅×SD₁₆) = C₅×C₂²⋊SD₁₆	φ: C₅×SD₁₆/C₅×D₄ → C₂ ⊆ Aut C₂²	80		C2^2:2(C5xSD16)	320,951
C₂²⋊₃(C₅×SD₁₆) = C₅×Q₈⋊D₄	φ: C₅×SD₁₆/C₅×Q₈ → C₂ ⊆ Aut C₂²	160		C2^2:3(C5xSD16)	320,949

Non-split extensions G=N.Q with N=C₂² and Q=C₅×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₅×SD₁₆) = C₅×D₈.C₄	φ: C₅×SD₁₆/C₄₀ → C₂ ⊆ Aut C₂²	160	2	C2^2.1(C5xSD16)	320,164
C₂².₂(C₅×SD₁₆) = C₅×C₂³.₃₁D₄	φ: C₅×SD₁₆/C₅×D₄ → C₂ ⊆ Aut C₂²	80		C2^2.2(C5xSD16)	320,133
C₂².₃(C₅×SD₁₆) = C₅×M₅(2)⋊C₂	φ: C₅×SD₁₆/C₅×D₄ → C₂ ⊆ Aut C₂²	80	4	C2^2.3(C5xSD16)	320,166
C₂².₄(C₅×SD₁₆) = C₅×C₈.₁₇D₄	φ: C₅×SD₁₆/C₅×D₄ → C₂ ⊆ Aut C₂²	160	4	C2^2.4(C5xSD16)	320,167
C₂².₅(C₅×SD₁₆) = C₅×C₈.Q₈	φ: C₅×SD₁₆/C₅×D₄ → C₂ ⊆ Aut C₂²	80	4	C2^2.5(C5xSD16)	320,170
C₂².₆(C₅×SD₁₆) = C₅×C₂³.₄₇D₄	φ: C₅×SD₁₆/C₅×D₄ → C₂ ⊆ Aut C₂²	160		C2^2.6(C5xSD16)	320,984
C₂².₇(C₅×SD₁₆) = C₅×C₂².SD₁₆	φ: C₅×SD₁₆/C₅×Q₈ → C₂ ⊆ Aut C₂²	80		C2^2.7(C5xSD16)	320,132
C₂².₈(C₅×SD₁₆) = C₅×C₂³.₄₆D₄	φ: C₅×SD₁₆/C₅×Q₈ → C₂ ⊆ Aut C₂²	160		C2^2.8(C5xSD16)	320,982
C₂².₉(C₅×SD₁₆) = C₅×C₂².₄Q₁₆	central extension (φ=1)	320		C2^2.9(C5xSD16)	320,145
C₂².₁₀(C₅×SD₁₆) = C₁₀×D₄⋊C₄	central extension (φ=1)	160		C2^2.10(C5xSD16)	320,915
C₂².₁₁(C₅×SD₁₆) = C₁₀×Q₈⋊C₄	central extension (φ=1)	320		C2^2.11(C5xSD16)	320,916
C₂².₁₂(C₅×SD₁₆) = C₁₀×C₄.Q₈	central extension (φ=1)	320		C2^2.12(C5xSD16)	320,926

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